Question

What is the remainder when (2x4 – 3x3 + x2 – 3x + 2) ÷ (x – 2) ?

Answer 1

use the remainder theorem:
plug in x = 2 and work it out

Answer 2

remainder theorem states that if f(x) is divided by (x-a) then f(a) is the remainder.

Answer 3

so replace all the x's with 2?

Answer 4

so here a = 2
and you need to work out 2(2)^4 - 3(2)^3 + 2^2 - 3(2) + 2

Answer 5

?

Answer 6

Remainder = 8

Answer 7

or you use long division or synthetic division

Answer 8

yes 8